Finding the Third Proportional to 523,665 and 765,045

Step by Step Solution

1. Step 1: Write the proportion equation
   523,665 : 765,045 = 765,045 : x
2. Step 2: Convert to fraction form
   523,665/765,045 = 765,045/x
3. Step 3: Cross multiply
   523,665x = 765,045 × 765,045
4. Step 4: Simplify right side
   523,665x = 585,293,852,025
5. Step 5: Solve for x
   x = 585,293,852,025/523,665
6. Step 6: Final answer
   x = 1,117,687.55